Stable ergodicity of skew extensions by compact Lie groups

被引：30

作者：

Field, M ^{[1
]}

Parry, W

机构：

[1] Univ Houston, Dept Math, Houston, TX 77204 USA

[2] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

来源：

TOPOLOGY | 1999年 / 38卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0040-9383(98)00008-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend recent results of Adler, Kitchens & Shub, Parry, and Parry & Pollicott on the stable ergodicity and mixing of toral extensions to skew extensions by compact connected Lie groups. We show that Holder continuous extensions by a compact Lie group over a hyperbolic attractor are generically stably ergodic. If the group is compact semisimple, then Holder continuous extensions over hyperbolic sets are generically stably ergodic. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：167 / 187

页数：21